MAYBE * Step 1: TrivialSCCs MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0,0) True (1,1) 1. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(1 + A,B,C,1,E,U,V,W,X,C,U,U,U,O,O,1,1,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && 0 >= U && B >= 1 + A] 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && 0 >= Y] 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && Y >= 2] 4. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,U,V,W,X,C,U,U,M,N,O,P,Q,R,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && U >= 1 && B >= 1 + A] 5. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && A >= B] 6. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && 1 >= D] 7. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,2,F,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D = 2] 8. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D >= 3] 9. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C >= 0 (?,1) && -1*C + T >= 0 && -1*C + -1*T >= 0 && -1*C + S >= 0 && -1*C + -1*S >= 0 && C >= 0 && C + T >= 0 && C + -1*T >= 0 && C + S >= 0 && C + -1*S >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0] Signature: {(f0,20);(f11,20);(f35,20);(f47,20)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{6,7,8},3->{6,7,8},4->{9},5->{9},6->{9},7->{9},8->{9},9->{9}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0,0) True (1,1) 1. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(1 + A,B,C,1,E,U,V,W,X,C,U,U,U,O,O,1,1,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && 0 >= U && B >= 1 + A] 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && 0 >= Y] 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && Y >= 2] 4. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,U,V,W,X,C,U,U,M,N,O,P,Q,R,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && U >= 1 && B >= 1 + A] 5. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && A >= B] 6. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (1,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && 1 >= D] 7. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,2,F,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (1,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D = 2] 8. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (1,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D >= 3] 9. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C >= 0 (?,1) && -1*C + T >= 0 && -1*C + -1*T >= 0 && -1*C + S >= 0 && -1*C + -1*S >= 0 && C >= 0 && C + T >= 0 && C + -1*T >= 0 && C + S >= 0 && C + -1*S >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0] Signature: {(f0,20);(f11,20);(f35,20);(f47,20)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{6,7,8},3->{6,7,8},4->{9},5->{9},6->{9},7->{9},8->{9},9->{9}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,7),(2,8),(3,6)] * Step 3: AddSinks MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0,0) True (1,1) 1. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(1 + A,B,C,1,E,U,V,W,X,C,U,U,U,O,O,1,1,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && 0 >= U && B >= 1 + A] 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && 0 >= Y] 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && Y >= 2] 4. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,U,V,W,X,C,U,U,M,N,O,P,Q,R,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && U >= 1 && B >= 1 + A] 5. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*T >= 0 (1,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && A >= B] 6. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (1,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && 1 >= D] 7. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,2,F,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (1,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D = 2] 8. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (1,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D >= 3] 9. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C >= 0 (?,1) && -1*C + T >= 0 && -1*C + -1*T >= 0 && -1*C + S >= 0 && -1*C + -1*S >= 0 && C >= 0 && C + T >= 0 && C + -1*T >= 0 && C + S >= 0 && C + -1*S >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0] Signature: {(f0,20);(f11,20);(f35,20);(f47,20)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{6},3->{7,8},4->{9},5->{9},6->{9},7->{9},8->{9},9->{9}] + Applied Processor: AddSinks + Details: () * Step 4: UnsatPaths MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0,0) True (1,1) 1. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(1 + A,B,C,1,E,U,V,W,X,C,U,U,U,O,O,1,1,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && 0 >= U && B >= 1 + A] 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && 0 >= Y] 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && Y >= 2] 4. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,U,V,W,X,C,U,U,M,N,O,P,Q,R,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && U >= 1 && B >= 1 + A] 5. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && A >= B] 6. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && 1 >= D] 7. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,2,F,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D = 2] 8. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D >= 3] 9. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C >= 0 (?,1) && -1*C + T >= 0 && -1*C + -1*T >= 0 && -1*C + S >= 0 && -1*C + -1*S >= 0 && C >= 0 && C + T >= 0 && C + -1*T >= 0 && C + S >= 0 && C + -1*S >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0] 10. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) True (?,1) Signature: {(exitus616,20);(f0,20);(f11,20);(f35,20);(f47,20)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{6,7,8},3->{6,7,8},4->{9,10},5->{9,10},6->{9,10},7->{9,10},8->{9,10} ,9->{9,10},10->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(2,7),(2,8),(3,6)] * Step 5: Failure MAYBE + Considered Problem: Rules: 0. f0(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,0,0) True (1,1) 1. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f11(1 + A,B,C,1,E,U,V,W,X,C,U,U,U,O,O,1,1,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && 0 >= U && B >= 1 + A] 2. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && 0 >= Y] 3. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f35(A,B,C,Y,E,U,V,W,X,C,U,U,U,O,0,Y,Y,0,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && B >= 1 + A && 0 >= U && Y >= 2] 4. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,U,V,W,X,C,U,U,M,N,O,P,Q,R,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && U >= 1 && B >= 1 + A] 5. f11(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*T >= 0 (?,1) && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0 && A >= B] 6. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && 1 >= D] 7. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,2,F,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D = 2] 8. f35(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,0,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C + J >= 0 (?,1) && C + -1*J >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && R + -1*T >= 0 && -1*R + -1*T >= 0 && O + -1*T >= 0 && -1*O + -1*T >= 0 && -1*M + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && R + T >= 0 && -1*R + T >= 0 && O + T >= 0 && -1*O + T >= 0 && -1*M + T >= 0 && -1 + -1*A + B >= 0 && -1*S >= 0 && R + -1*S >= 0 && -1*R + -1*S >= 0 && O + -1*S >= 0 && -1*O + -1*S >= 0 && -1*M + -1*S >= 0 && S >= 0 && R + S >= 0 && -1*R + S >= 0 && O + S >= 0 && -1*O + S >= 0 && -1*M + S >= 0 && -1*R >= 0 && O + -1*R >= 0 && -1*O + -1*R >= 0 && -1*M + -1*R >= 0 && R >= 0 && O + R >= 0 && -1*O + R >= 0 && -1*M + R >= 0 && -1*O >= 0 && -1*M + -1*O >= 0 && O >= 0 && -1*M + O >= 0 && -1*M >= 0 && D >= 3] 9. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) [-1*C >= 0 (?,1) && -1*C + T >= 0 && -1*C + -1*T >= 0 && -1*C + S >= 0 && -1*C + -1*S >= 0 && C >= 0 && C + T >= 0 && C + -1*T >= 0 && C + S >= 0 && C + -1*S >= 0 && -1*T >= 0 && S + -1*T >= 0 && -1*S + -1*T >= 0 && T >= 0 && S + T >= 0 && -1*S + T >= 0 && -1*S >= 0 && S >= 0] 10. f47(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) -> exitus616(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T) True (?,1) Signature: {(exitus616,20);(f0,20);(f11,20);(f35,20);(f47,20)} Flow Graph: [0->{1,2,3,4,5},1->{1,2,3,4,5},2->{6},3->{7,8},4->{9,10},5->{9,10},6->{9,10},7->{9,10},8->{9,10},9->{9,10} ,10->{}] + Applied Processor: LooptreeTransformer + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10] | +- p:[1] c: [1] | `- p:[9] c: [] MAYBE